SOLUTION: The area of the floor of the rectangular room shown in the figure is 243 square feet. The length of the room is 4 ½ feet longer than the width. What is the length of the room?

Algebra ->  Rectangles -> SOLUTION: The area of the floor of the rectangular room shown in the figure is 243 square feet. The length of the room is 4 ½ feet longer than the width. What is the length of the room?       Log On


   

Question 464832: The area of the floor of the rectangular room shown in the figure is 243 square feet. The length of the room is 4 ½ feet longer than the width. What is the length of the room?
Answer by sofiyac(983) About Me  (Show Source):
You can put this solution on YOUR website!
so width is x, length is x+4.5
x(x+4.5)=243
x^2+4.5x-243=0
x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+
x+=+%28-4.5+%2B-+sqrt%28+20.25%2B972+%29%29%2F%282%29+
x+=+%28-4.5+%2B-+sqrt%28+992.25+%29%29%2F%282%29+
x+=+%28-4.5+%2B-+31.5%29%2F%282%29+
x+=+%28-4.5+%2B+31.5%29%2F%282%29+=+13.5
x+=+%28-4.5+-+31.5%29%2F%282%29+=+-18
width cant be negative, so width is 13.5
then length would be 13.5+4.5=18